Waterplane Area - Simpson 5-Ordinate

Waterplane area from 5-station Simpson's integration - the first step for hydrostatic properties.

WaterplaneSimpsonArea

y₀ (AP)my₁my₂ (amid)my₃my₄ (FP)mStation spacingm

Full WL area: 3,013.3m²

Changing the inputs requires JavaScript. The calculator above shows its default inputs and result. The formula, symbols, and regulatory sources are shown in the Formula section below.

Formula, assumptions, and limits

A = 2 \cdot \frac{h}{3} \cdot \sum (m_i y_i)

Symbol	Meaning	Unit
$y_i$	Half-breadth at station i	m
$h$	Station spacing	m

Source: Rawson & Tupper Vol 1

In short

Waterplane area from 5-station Simpson's integration - the first step for hydrostatic properties.

Learn the theory Intact stability